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3 years ago

6th grade work please help

Mathematics

2 answers:

kakasveta [241]3 years ago

5 0

Answer:

Same

Step-by-step explanation:

Gre4nikov [31]3 years ago

5 0

it's that the question interesting anaways

Answer: same

you have to name the transformation i guess

Step-by-step explanation:

Every point moves the same distance in the same direction on a coordinate plane.

Translation mean Reflection, Rotation, and Dilation

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Find the arc length of the given curve between the specified points. x = y^4/16 + 1/2y^2 from (9/16), 1) to (9/8, 2).

lutik1710 [3]

Answer:

The arc length is $\dfrac{21}{16}$

Step-by-step explanation:

Given that,

The given curve between the specified points is

$x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}$

The points from $(\dfrac{9}{16},1)$ to $(\dfrac{9}{8},2)$

We need to calculate the value of $\dfrac{dx}{dy}$

Using given equation

$x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}$

On differentiating w.r.to y

$\dfrac{dx}{dy}=\dfrac{d}{dy}(\dfrac{y^2}{16}+\dfrac{1}{2y^2})$

$\dfrac{dx}{dy}=\dfrac{1}{16}\dfrac{d}{dy}(y^4)+\dfrac{1}{2}\dfrac{d}{dy}(y^{-2})$

$\dfrac{dx}{dy}=\dfrac{1}{16}(4y^{3})+\dfrac{1}{2}(-2y^{-3})$

$\dfrac{dx}{dy}=\dfrac{y^3}{4}-y^{-3}$

We need to calculate the arc length

Using formula of arc length

$L=\int_{a}^{b}{\sqrt{1+(\dfrac{dx}{dy})^2}dy}$

Put the value into the formula

$L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4}-y^{-3})^2}dy}$

$L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-2\times\dfrac{y^3}{4}\times y^{-3}}dy}$

$L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-\dfrac{1}{2}}dy}$

$L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4})^2+(y^{-3})^2+\dfrac{1}{2}}dy}$

$L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4}+y^{-3})^2}dy}$

$L= \int_{1}^{2}{(\dfrac{y^3}{4}+y^{-3})dy}$

$L=(\dfrac{y^{3+1}}{4\times4}+\dfrac{y^{-3+1}}{-3+1})_{1}^{2}$

$L=(\dfrac{y^4}{16}+\dfrac{y^{-2}}{-2})_{1}^{2}$

Put the limits

$L=(\dfrac{2^4}{16}+\dfrac{2^{-2}}{-2}-\dfrac{1^4}{16}-\dfrac{(1)^{-2}}{-2})$

$L=\dfrac{21}{16}$

Hence, The arc length is $\dfrac{21}{16}$

6 0

3 years ago

Help! i need to answer this before 11:59pm EST, Today !!, i would appreciate your help.

Arada [10]

Answer:

0.18 sec or 3.4 sec.

For second part, it will take 3.7 sec.

First part:

Set h(t) = 17and solve for t.

-16t²+ 58t + 7= 17

-16t² + 58t - 10 = 0

Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 17 on the way up, and the higher value is the time to reach 17 again, on the way down.

Second part:

Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.

3 0

4 years ago

Someone please help me with this<br><br>x² = y² – z² [y]

geniusboy [140]

Answer:y= - Squared x squared + z squared

Step-by-step explanation:

7 0

3 years ago

The total cost 95 pens and 89 notebooks is RS 7434.The total cost of 1 pen and 1 notebook is 81.What the cost of 1 notebook?

Alex

Answer:

The cost of 1 note book = Rs 43.5

Step-by-step explanation:

Given in question as :

95 pens (P) + 89 notebook (N) total cost = Rs 7434

1 pen (P) + 1 (N) total cost = Rs 81

So, from above equation

95 pens (P) + 89 notebook (N) total cost = Rs 7434

1 × 95 pen (P) + 1× 95 notebook (N) total cost = Rs 81 × 95

Or, (95 pens (P) + 95 notebook (N) ) - (95 pens (P) + 89 notebook (N) ) = (7695 - 7434)

Or , 6 N = Rs 261

Or, N = $\frac{261}{6}$ = Rs 43.5

Hence the cost of 1 notebook is Rs 43.5 Answer

4 0

3 years ago

a car gets 30 miles per gallon of gas. at this rate, how many gallons would it take for the car to go 360 miles

eimsori [14]

Answer:

The car would need 12 gallons of gas to go 360 miles

Step-by-step explanation:

360÷30=12

5 0

3 years ago

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